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Some factors affecting performance of rats in the traveling salesman problem

Abstract

The traveling salesman problem (TSP) is used to measure the efficiency of spatial route selection. Among researchers in cognitive psychology and neuroscience, it has been utilized to examine the mechanisms of decision making, planning, and spatial navigation. While both human and non-human animals produce good solutions to the TSP, the solution strategies engaged by non-human species are not well understood. We conducted two experiments on the TSP using Long–Evans laboratory rats as subjects. The first experiment examined the role of arena walls in route selection. Rats tend to display thigmotaxis in testing conditions comparable to the TSP, which could produce results similar to a convex hull type strategy suggested for humans. The second experiment examined the role of turn angle between targets along the optimal route, to determine whether rats exhibit a preferential turning bias. Our results indicated that both thigmotaxis and preferential turn angles do affect performance in the TSP, but neither is sufficient as a predictor of route choice in this task.

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References

  • Baron D, Ramirez A, Bulitko V, Madan C, Greiner A, Hurd P, Spetch M (2014) Practice makes proficient: pigeons (Columba livia) learn efficient routes on full-circuit navigational traveling salesperson problems. Anim Cogn 18(1):53–64

    Article  PubMed  Google Scholar 

  • Blaser R, Ginchansky R (2012) Route selection by rats and humans in a navigational traveling salesman problem. Anim Cogn 15(2):239–250

    Article  PubMed  Google Scholar 

  • Bures J, Buresova O, Nerad L (1992) Can rats solve a simple version of the traveling salesman problem? Behav Brain Res 52(2):133–142

    CAS  Article  PubMed  Google Scholar 

  • Cramer A, Gallistel C (1997) Vervet monkeys as travelling salesmen. Nature 387:464

    CAS  Article  PubMed  Google Scholar 

  • de Jong LW, Gereke B, Martin GM, Fellous J-M (2011) The traveling salesrat: insights into the dynamics of efficient spatial navigation in the rodent. J Neural Eng 8(6):065010

    Article  PubMed  Google Scholar 

  • Ennaceur A, Michalikova S, Chazot P (2006) Models of anxiety: responses of rats to novelty in an open space and an enclosed space. Behav Brain Res 171(1):26–49

    CAS  Article  PubMed  Google Scholar 

  • Gallistel CR, Cramer AE (1996) Computations on metric maps in mammals: Getting oriented and choosing a multi-destination route. J Exp Biol 199:211–217

  • Gibson BM, Wasserman EA, Kamil AC (2007) Pigeons and people select efficient routes when solving a one-way ‘traveling salesperson’ task. J Exp Psychol Anim Behav Proc 33(3):244–261

    Article  Google Scholar 

  • Gibson B, Wilkinson M, Kelly D (2012) Let the pigeon drive the bus: pigeons can plan future routes in a room. Anim Cogn 15(3):379–391

    Article  PubMed  Google Scholar 

  • Kong X, Schunn CD (2007) Global vs. local information processing in visual/spatial problem solving: the case of traveling salesman problem. Cogn Sys Res 8(3):192–207

    Article  Google Scholar 

  • Lee MD, Vickers D (2000) The importance of the convex hull for human performance on the traveling salesman problem: a comment on MacGregor and Ormerod (1996). Percept Psychophys 62(1):226–228

    CAS  Article  PubMed  Google Scholar 

  • Lihoreau M, Chittka L, Le Comber SC, Raine NE (2012) Bees do not use nearest-neighbour rules for optimization of multi-location routes. Biol Lett 8(1):13–16

    PubMed Central  Article  PubMed  Google Scholar 

  • MacGregor JN, Chu Y (2011) Human performance on the traveling salesman and related problems: a review. J Probl Solving 3(2):1–29

  • MacGregor JN, Ormerod T (1996) Human performance on the traveling salesman problem. Percept Psychophys 58(4):527–539

    CAS  Article  PubMed  Google Scholar 

  • MacGregor JN, Chronicle EP, Ormerod TC (2004) Convex hull or crossing avoidance? Solution heuristics in the traveling salesperson problem. Mem Cogn 32(2):260–270

    Article  Google Scholar 

  • Miyata H, Fujita K (2010) Route selection by pigeons (Columba livia) in “traveling salesperson” navigation tasks presented on an lcd screen. Anglais 124(4):433–446

    Google Scholar 

  • Miyata H, Ushitani T, Adachi I, Fujita K (2006) Performance of pigeons (Columba livia) on maze problems presented on the LCD screen: in search for preplanning ability in an avian species. Anglais 120(4):358–366

    Google Scholar 

  • Ormerod TC, Chronicle EP (1999) Global perceptual processing in problem solving: the case of the traveling salesperson. Percept Psychophys 61(6):1227–1238

    CAS  Article  PubMed  Google Scholar 

  • Timberlake W, Leffel J, Hoffman CM (1999) Stimulus control and function of arm and wall travel by rats on a radial arm floor maze. Anim Learn Behav 27:445–460

    Article  Google Scholar 

  • Van Rooij I, Stege U, Schactman A (2003) Convex hull and tour crossings in the Euclidean traveling salesperson problem: implications for human performance studies. Mem Cogn 31(2):215–220

    Article  Google Scholar 

  • Wiener JM, Schnee A, Mallot HA (2004) Use and interaction of navigation strategies in regionalized environments. J Environ Psychol 24:475–493

    Article  Google Scholar 

  • Wiener JM, Ehbauer NN, Mallot HA (2007) Path planning and optimization in the traveling salesman problem: nearest neighbor vs. region-based strategies. Schloss Dagstuhl - Leibniz-Zentrum für Informatik pp 1–21

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Correspondence to R. E. Blaser.

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All applicable international, national, and/or institutional guidelines for the care and use of animals were followed. All procedures performed in studies involving animals were in accordance with the ethical standards of the institution or practice at which the studies were conducted.

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The authors declare that they have no conflict of interest.

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10071_2015_890_MOESM1_ESM.pdf

Supplementary Fig. 1 – The segments used to calculate H–H and I–I transitions in Experiment 1 are illustrated for Configurations 1-3.Supplementary Fig. 2 – Examples of the segments used to calculate H-I-H, I-H-I, H–H–H and H-I-I transitions in Experiment 2 are illustrated for Configurations 4 and 5. (PDF 43 kb)

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Bellizzi, C., Goldsteinholm, K. & Blaser, R.E. Some factors affecting performance of rats in the traveling salesman problem. Anim Cogn 18, 1207–1219 (2015). https://doi.org/10.1007/s10071-015-0890-0

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  • DOI: https://doi.org/10.1007/s10071-015-0890-0

Keywords

  • Navigation
  • Cognition
  • Spatial
  • Optimization
  • Strategy
  • Planning